**Department of Mathematics**

**ODTÜ-B****Ý****LKENT
ALGEBRAIC GEOMETRY SEM****I****NAR**

# “Trigonal
Curves and Monodromy III”

By

**Alexander Degtyarev**

**(BÝLKENT UNIVERSITY)**

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**Abstract:** We continue the description of
the braid monodromy of a trigonal curve and its relation
to the dessin. The principal result is the fact that
the monodromy group is a subgroup of genus zero. As
an immediate application, we will discuss the dihedral coverings ramified at
trigonal curves (equivalently, torsion of the Mordell—Weil
group of an elliptic surface) and a trigonal curve version of the so-called Oka
conjecture.

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**Date: ****Friday, APRIL 15, 2016**

**Time: ****15.40**

**Place: ****Mathematics Seminar Room**

You are most cordially invited

Tea and cookies will be served before the
seminar.